Equation of a line tangent to the circle circumscribing the triangle ABC and passing through the origin is Q.11 A, B and C are points in the xy plane such that A1, 2 ; B 5, 6 and AC = 3B
Trang 2Q.1 If the lines x + y + 1 = 0 ; 4x + 3y + 4 = 0 and x + y + = 0, where 2 + 2 = 2, are concurrent then
(A) = 1, = – 1 (B) = 1, = ± 1 (C) = – 1, = ± 1 (D) = ± 1, = 1
Q.2 The line 2x – y + 1 = 0 is tangent to the circle at the point (2, 5) and the centre of the circles lies on
x – 2y = 4 The radius of the circle is
Q.3 Given the family of lines, a (3x + 4y + 6) + b (x + y + 2) = 0 The line of the family situated at the greatest
distance from the point P (2, 3) has equation :
(A) 4x + 3y + 8 = 0 (B) 5x + 3y + 10 = 0 (C) 15x + 8y + 30 = 0 (D) none
Q.4 If the circles x2 + y2 + 2ax + cy + a = 0 and x2 + y2 – 3ax + dy – 1 = 0 intersect in two distinct points
P and Q then the line 5x + by – a = 0 passes through P and Q for
(A) exactly one value of a (B) no value of a
(C) infinitely many values of a (D) exactly two values of a
Q.5 A variable rectangle PQRS has its sides parallel to fixed directions Q and S lie respectively on the lines
x = a, x = a and P lies on the x axis Then the locus of R is
(A) a straight line (B) a circle (C) a parabola (D) pair of straight lines
Q.6 Circle is inscribed in a square ABCD of length 2a units, taking AB and AD along the axes OX and OY
respectively If E is a point on DC such that 3 DE = DC and F is a point on BA produced such that
FA = AB, and EF is a tangent to the circle then the ratio in which the point of tangency divides EF is
Q.7 A rectangular billiard table has vertices at P(0, 0), Q(0, 7), R(10, 7) and S (10, 0) A small billiard ball
starts at M(3, 4) and moves in a straight line to the top of the table, bounces to the right side of the table, then comes to rest at N(7, 1) The y-coordinate of the point where it hits the right side, is
Q.8 Four unit circles pass through the origin and have their centres on the coordinate axes The area of the
quadrilateral whose vertices are the points of intersection (in pairs) of the circles, is
(C) 4 sq units (D) can not be uniquely determined, insufficient data Q.9 Through a point A on the x-axis a straight line is drawn parallel to y-axis so as to meet the pair of straight
lines ax2 + 2hxy + by2 = 0 in B and C If AB = BC then
(A) h2 = 4ab (B) 8h2 = 9ab (C) 9h2 = 8ab (D) 4h2 = ab
Q.10 Consider 3 non collinear points A, B, C with coordinates (0, 6), (5, 5) and (–1, 1) respectively Equation
of a line tangent to the circle circumscribing the triangle ABC and passing through the origin is
Q.11 A, B and C are points in the xy plane such that A(1, 2) ; B (5, 6) and AC = 3BC Then
(A) ABC is a unique triangle (B) There can be only two such triangles
(C) No such triangle is possible (D) There can be infinite number of such triangles
Trang 3Q.12 To which of the following circles, the line y x + 3 = 0 is normal at the point
2
3 , 2
3
2
3 y 2
3 3 x
2 2
2
3 y 2
3 x
2 2
(C) x2 + (y 3)2 = 9 (D) (x 3)2 + y2 = 9
Q.13 If A (1, p2) ; B (0, 1) and C (p, 0) are the coordinates of three points then the value of p for which the
area of the triangle ABC is minimum, is
(A)
3
1
(B) –
3
1
(C) 3
1
or –
3
1
(D) none
Q.14 The circle with equation x2 + y2 = 1 intersects the line y = 7x + 5 at two distinct points A and B Let C
be the point at which the positive x-axis intersects the circle The angle ACB is
(A) tan–1
3
4
(B) tan–1
4
3
(C) tan–1(1) (D) tan–1
2 3
Q.15 Line AB passes through point (2, 3) and intersects the positive x and y axes at A(a, 0) and B(0, b)
respectively If the area of AOB is 11, the numerical value of 4b2 + 9a2, is
Q.16 The number of common tangents of the circles (x + 2)² + (y 2)² = 49 and
(x 2)² + (y + 1)² = 4 is :
Q.17 Each member of the family of parabolas y = ax2 + 2x + 3 has a maximum or a minimum point depending
upon the value of a The equation to the locus of the maxima or minima for all possible values of 'a' is (A) a straight line with slope 1 and y intercept 3 (B) a straight line with slope 2 and y intercept 2 (C) a straight line with slope 1 and x intercept 3 (D) a circle
Q.18 Triangle ABC is right angled at A The circle with centre A and radius AB cuts BC and AC internally at
D and E respectively If BD = 20 and DC = 16 then the length AC equals
Q.19 The co ordinates of the point of reflection of the origin (0, 0) in the line 4x 2y 5 = 0 is
5
2 , 5
4
(D) (2, 5)
Q.20 Combined equation to the pair of tangents drawn from the origin to the circle ; x² + y² + 4x + 6y + 9 = 0
is :
(A) 3 (x² + y²) = (x + 2y)² (B) 2 (x² + y²) = (3x + y)²
(C) 9 (x² + y²) = (2x + 3y)² (D) x² + y² = (2x + 3y)²
Q.21 A ray of light passing through the point A (1, 2) is reflected at a point B on the x axis and then passes
through (5, 3) Then the equation of AB is :
Trang 4Q.22 If x = 3 is the chord of contact of the circle x2 y2 = 81, then the equation of the corresponding pair of
tangents, is
(A) x2 8y2 + 54x + 729 = 0 (B) x2 8y2 54x + 729 = 0
(C) x2 8y2 54x 729 = 0 (D) x2 8y2 = 729
Q.23 m, n are integer with 0 < n < m A is the point (m, n) on the cartesian plane B is the reflection of A in the
line y = x C is the reflection of B in the y-axis, D is the reflection of C in the x-axis and E is the reflection
of D in the y-axis The area of the pentagon ABCDE is
(A) 2m(m + n) (B) m(m + 3n) (C) m(2m + 3n) (D) 2m(m + 3n)
Q.24 The locus of poles whose polar with respect to x2 + y2 = a2 always passes through (K, 0) is
(A) Kx a2 = 0 (B) Kx + a2 = 0 (C) Ky + a2 = 0 (D) Ky a2 = 0
Q.25 The area enclosed by the graphs of | x + y | = 2 and | x | = 1 is
Q.26 Let C1 and C2 are circles defined by x2 + y2 – 20x + 64 = 0 and x2 + y2 + 30x + 144 = 0
The length of the shortest line segment PQ that is tangent to C1 at P and to C2 at Q is
Q.27 If P = (1, 0) ; Q = ( 1, 0) and R = (2, 0) are three given points, then the locus of the points S satisfying
the relation, SQ2 + SR2 = 2 SP2 is :
(A) a straight line parallel to x axis (B) a circle passing through the origin
(C) a circle with the centre at the origin (D) a straight line parallel to y axis
Q.28 The equation of the pair of bisectors of the angles between two straight lines is,12x2 7xy 12y2 = 0
If the equation of one line is 2y x = 0 then the equation of the other line is :
(A) 41x 38y = 0 (B) 11x + 2y = 0 (C) 38x + 41y = 0 (D) 11x – 2y = 0
Q.29 The centre of the smallest circle touching the circles x2 + y2 – 2y 3 = 0 and
x2 + y2 8x 18y + 93 = 0 is
Q.30 Two points A(x1, y1) and B(x2, y2) are chosen on the graph of f (x) = ln x with 0 < x1 < x2 The points
C and D trisect line segment AB with AC < CB Through C a horizontal line is drawn to cut the curve at E(x3, y3) If x1 = 1 and x2 = 1000 then the value of x3 equals
Q.31 A variable line moves in such way that the product of the perpendiculars from (a, 0) and (0, 0) is equal
to k2 The locus of the feet of the perpendicular from (0, 0) upon the variable line is a circle, the square
of whose radius is (Given: | a | < 2 | k |)
2
k 4
a
(B)
4
k
a2 2
(C) a2 +
4
k2
(D)
2
k
a2 2
Q.32 Consider a quadratic equation in Z with parameters x and y as
Z2 – xZ + (x – y)2 = 0 The parameters x and y are the co-ordinates of a variable point P w.r.t an orthonormal co-ordinate system in a plane If the quadratic equation has equal roots then the locus of P is
(A) a circle
(B) a line pair through the origin of co-ordinates with slope 1/2 and 2/3
(C) a line pair through the origin of co-ordinates with slope 3/2 and 2
(D) a line pair through the origin of co-ordinates with slope 3/2 and 1/2
Trang 5Q.33 If the circle C1 : x2 + y2 = 16 intersects another circle C2 of radius 5 in such a manner that the
common chord is of maximum length and has a slope equal to 3/4, then the co-ordinates of the centre of
C2 are :
(A) 9
5
12 5
5
12 5
5
9 5
5
9 5 ,
Q.34 If L is the line whose equation is ax + by = c Let M be the reflection of L through the y-axis, and let N
be the reflection of L through the x-axis Which of the following must be true about M and N for all choices of a, b and c?
(A) The x-intercepts of M and N are equal (B) The y-intercepts of M and N are equal
(C) The slopes of M and N are equal (D) The slopes of M and N are reciprocal
Q.35 Two lines p1x + q1y + r1 = 0 and p2x + q2y + r2 = 0 are conjugate lines w.r.t the circle x² + y² =
a² if
(A) p1p2 + q1q2 = r1r2 (B) p1p2 + q1q2 + r1r2 = 0
(C) a²(p1p2 + q1q2) = r1r2 (D) p1p2 + q1q2 = a² r1r2
Q.36 Vertices of a parallelogram ABCD are A(3, 1), B(13, 6), C(13, 21) and D(3, 16) If a line passing
through the origin divides the parallelogram into two congruent parts then the slope of the line is
(A)
12
11
(B) 8
11
(C) 8
25
(D) 8 13
Q.37 Let C be the circle of radius unity centred at the origin If two positive numbers x1 and x2 are such that
the line passing through (x1, – 1) and (x2, 1) is tangent to C then
(A) x1x2 = 1 (B) x1x2 = – 1 (C) x1 + x2 = 1 (D) 4x1x2 = 1
Q.38 The line x = c cuts the triangle with corners (0, 0); (1, 1) and (9, 1) into two regions For the area of the
two regions to be the same c must be equal to
Q.39 The locus of the middle points of the system of chords of the circle x² + y² = 16 which are parallel to the
line 2y = 4x + 5 is
(A) x = 2y (B) x + 2y = 0 (C) y + 2x = 0 (4) y = 2x
Q.40 The distance between the two parallel lines is 1 unit A point 'A' is chosen to lie between the lines at a
distance 'd' from one of them Triangle ABC is equilateral with B on one line and C on the other parallel line The length of the side of the equilateral triangle is
3
(B)
3
1 d d 2
2
(C) 2 d2 d 1 (D) d2 d 1
Q.41 The distance between the chords of contact of tangents to the circle x2+ y2 + 2gx + 2fy+ c = 0 from the
origin and the point (g, f) is
2
(D) g f c
2
Q.42 Given A(0, 0) and B(x, y) with x (0, 1) and y > 0 Let the slope of the line AB equals m1 Point C lies
on the line x = 1 such that the slope of BC equals m2 where 0 < m2 < m1 If the area of the triangle ABC can be expressed as (m1 – m2) f (x), then the largest possible value of f (x) is
Trang 6Q.43 The points A (a , 0) , B (0 , b) , C (c , 0) and D (0 , d) are such that ac = bd and a, b, c, d are all
non-zero Then the points
(A) form a parallelogram (B) do not lie on a circle
Q.44 Consider a parallelogram whose sides are represented by the lines 2x + 3y = 0; 2x + 3y – 5 = 0;
3x – 4y = 0 and 3x – 4y = 3 The equation of the diagonal not passing through the origin, is
(A) 21x – 11y + 15 = 0 (B) 9x – 11y + 15 = 0
(C) 21x – 29y – 15 = 0 (D) 21x – 11y – 15 = 0
Q.45 The locus of the centers of the circles which cut the circles x2 + y2 + 4x 6y + 9 = 0 and
x2 + y2 5x + 4y 2 = 0 orthogonally is :
Q.46 What is the y-intercept of the line that is parallel to y = 3x, and which bisects the area of a rectangle with
corners at (0, 0), (4, 0), (4, 2) and (0, 2)?
Q.47 The locus of the mid points of the chords of the circle x² +y² + 4x 6y 12 = 0 which subtend an angle
of
3 radians at its circumference is :
(A) (x 2)² + (y + 3)² = 6.25 (B) (x + 2)² + (y 3)² = 6.25
(C) (x + 2)² + (y 3)² = 18.75 (D) (x + 2)² + (y + 3)² = 18.75
Q.48 Given A (1, 1) and AB is any line through it cutting the x-axis in B If AC is perpendicular to AB and
meets the y-axis in C, then the equation of locus of mid- point P of BC is
(A) x + y = 1 (B) x + y = 2 (C) x + y = 2xy (D) 2x + 2y = 1
Q.49 The angle at which the circles (x – 1)2 + y2 = 10 and x2 + (y – 2)2 = 5 intersect is
(A)
Q.50 In a triangle ABC, if A (2, – 1) and 7x – 10y + 1 = 0 and 3x – 2y + 5 = 0 are equations of an altitude
and an angle bisector respectively drawn from B, then equation of BC is
(A) x + y + 1 = 0 (B) 5x + y + 17 = 0 (C) 4x + 9y + 30 = 0 (D) x – 5y – 7 = 0
Q.51 A circle of radius unity is centred at origin Two particles start moving at the same time from the point
(1, 0) and move around the circle in opposite direction One of the particle moves counterclockwise with constant speed v and the other moves clockwise with constant speed 3v After leaving (1, 0), the two particles meet first at a point P, and continue until they meet next at point Q The coordinates of the point Q are
Q.52 AB is the diameter of a semicircle k, C is an arbitrary point on the
semicircle (other than A or B) and S is the centre of the circle inscribed
into triangle ABC, then measure of
(B) angle ASB is the same for all positions of C but it cannot be determined without knowing the radius (C) angle ASB = 135° for all C
(D) angle ASB = 150° for all C
Trang 7Q.53 The value of 'c' for which the set, {(x, y) x2 + y2 + 2x 1} {(x, y) x y + c 0} contains only
one point in common is :
(A) ( , 1] [3, ) (B) { 1, 3} (C) { 3} (D) { 1 }
Q.54 Given x
a
y
b = 1 and ax + by = 1 are two variable lines, 'a' and 'b' being the parameters connected by the relation a2 + b2 = ab The locus of the point of intersection has the equation
(A) x2 + y2 + xy 1 = 0 (B) x2 + y2 – xy + 1 = 0
(C) x2 + y2 + xy + 1 = 0 (D) x2 + y2 – xy – 1 = 0
Q.55 If a
a
, 1 , b
b
, 1 , c
c
, 1 and d
d , 1 are four distinct points on a circle of radius 4 units then,
abcd is equal to
Q.56 Triangle formed by the lines x + y = 0 , x – y = 0 and lx + my = 1 If l and m vary subject to the
condition l 2 + m2 = 1 then the locus of its circumcentre is
(A) (x2 – y2)2 = x2 + y2 (B) (x2 + y2)2 = (x2 – y2)
(C) (x2 + y2) = 4x2 y2 (D) (x2 – y2)2 = (x2 + y2)2
Q.57 The radical centre of three circles taken in pairs described on the sides of a triangle ABC as diametres is
the :
(A) centroid of the ABC (B) incentre of the ABC
(C) circumcentre o the ABC (D) orthocentre of the ABC
Q.58 The image of the pair of lines represented by ax2 + 2h xy + by2 = 0 by the line mirror y = 0 is
(A) ax2 2h xy by2 = 0 (B) bx2 2h xy + ay2 = 0
(C) bx2 + 2h xy + ay2 = 0 (D) ax2 2h xy + by2 = 0
Q.59 Two circles are drawn through the points (1, 0) and (2, 1) to touch the axis of y They intersect at an
angle
(A) cot–1 3
Q.60 Let (x1, y1) ; (x2, y2) and (x3, y3) are the vertices of a triangle ABC respectively D is a point on BC such
that BC = 3BD The equation of the line through A and D, is
(A)
1 y x
1 y x
1 y x
2 2
1
1 y x
1 y x
1 y x
3 3
1
1 y x
1 y x
1 y x
2 2
1
1 y x
1 y x
1 y x
3 3
1
(C)
1 y x
1 y x
1 y x
2 2
1
1 y x
1 y x
1 y x
3 3
1
1 y x
1 y x
1 y x
2 2
1
1 y x
1 y x
1 y x
3 3
1
Q.61 A foot of the normal from the point (4, 3) to a circle is (2, 1) and a diameter of the circle has the equation
2x – y – 2 = 0 Then the equation of the circle is
(A) x2 + y2 – 4y + 2 = 0 (B) x2 + y2 – 4y + 1 = 0
(C) x2 + y2 – 2x – 1 = 0 (D) x2 + y2 – 2x + 1 = 0
Trang 8Q.62 If the straight lines , ax + amy + 1 = 0 , b x + (m + 1) b y + 1 = 0 and cx + (m + 2)cy + 1 = 0, m 0
are concurrent then a, b, c are in :
(A) A.P only for m = 1 (B) A.P for all m
(C) G.P for all m (D) H.P for all m
Q.63 AB is a diameter of a circle CD is a chord parallel to AB and 2 CD = AB The tangent at B meets the
line AC produced at E then AE is equal to :
Q.64 If in triangle ABC , A (1, 10) , circumcentre 13, 23 and orthocentre 113 , 43 then the
co-ordinates of mid-point of side opposite to A is :
(A) (1, 11/3) (B) (1, 5) (C) (1, 3) (D) (1, 6)
Q.65 A circle of constant radius ' a ' passes through origin ' O ' and cuts the axes of co ordinates in points P
and Q, then the equation of the locus of the foot of perpendicular from O to PQ is :
(A) (x2 + y2) 12 12
x y = 4 a2 (B) (x2 + y2)2 12 12
x y = a2
(C) (x2 + y2)2 1 1
x y = 4 a2 (D) (x2 + y2) 12 12
x y = a2
Q.66 A is a point on either of two lines y + 3 x = 2 at a distance of 4
3 units from their point of intersection The co-ordinates of the foot of perpendicular from A on the bisector of the angle between them are
(A) 2
3 ,2 (D) (0, 4) Q.67 If a circle of constant radius 3k passes through the origin 'O' and meets co-ordinate axes at A and B
then the locus of the centroid of the triangle OAB is
(A) x2 + y2 = (2k)2 (B) x2 + y2 = (3k)2 (C) x2 + y2 = (4k)2 (D) x2 + y2 = (6k)2
Q.68 The graph of (y – x) against (y + x) is as shown
Which one of the following shows the graph of y against x?
Q.69 A circle is drawn touching the x axis and centre at the point which is the reflection of
(a, b) in the line y x = 0 The equation of the circle is
(A) x2 + y2 2bx 2ay + a2 = 0 (B) x2 + y2 2bx 2ay + b2 = 0
(C) x2 + y2 2ax 2by + b2 = 0 (D) x2 + y2 2ax 2by + a2 = 0
Q.70 P is a point inside the triangle ABC Lines are drawn through P, parallel to the sides of the triangle The
three resulting triangles with the vertex at P have areas 4, 9 and 49 sq units The area of the triangle ABC is
Trang 9Q.71 The locus of the mid points of the chords of the circle x2 + y2 2x 4y 11 = 0 which subtend 600 at
the centre is
(A) x2 + y2 4x 2y 7 = 0 (B) x2 + y2 + 4x + 2y 7 = 0
(C) x2 + y2 2x 4y 7 = 0 (D) x2 + y2 + 2x + 4y + 7 = 0
Q.72 Let PQR be a right angled isosceles triangle, right angled at P (2, 1) If the equation of the line QR is
2x + y = 3, then the equation representing the pair of lines PQ and PR is
(A) 3x2 3y2 + 8xy + 20x + 10y + 25 = 0 (B) 3x2 3y2 + 8xy 20x 10y + 25 = 0
(C) 3x2 3y2 + 8xy + 10x + 15y + 20 = 0 (D) 3x2 3y2 8xy 10x 15y 20 = 0
Q.73 A line meets the co-ordinate axes in A and B A circle is circumscribed about the triangle OAB If d1 and
d2 are the distances of the tangent to the circle at the origin O from the points A and B respectively, the diameter of the circle is :
(A)
2
d
(B)
2
d
(C) d1 + d2 (D)
2 1
2 1 d d
d d
Q.74 Let f (x) = mx + b where m and b are integers with m > 0 If the solution of the equation 2f(x) = 5 is
x = log810 then (m + b) has the value equal to
Q.75 The equation of the circle symmetric to the circle x2 + y2 – 2x – 4y + 4 = 0 about the line x – y = 3 is
(A) x2 + y2 – 10x + 4y + 28 = 0 (B) x2 + y2 + 6x + 8 = 0
(C) x2 + y2 – 14x – 2y + 49 = 0 (D) x2 + y2 + 8x + 2y + 16 = 0
Q.76 If the straight lines joining the origin and the points of intersection of the curve
5x2 + 12xy 6y2 + 4x 2y + 3 = 0 and x + ky 1 = 0 are equally inclined to the co-ordinate axes then the value of k :
(C) is equal to 2 (D) does not exist in the set of real numbers
Q.77 A variable circle C has the equation
x2 + y2 – 2(t2 – 3t + 1)x – 2(t2 + 2t)y + t = 0, where t is a parameter
If the power of point P(a,b) w.r.t the circle C is constant then the ordered pair (a, b) is
(A)
10
1 , 10
1
(B)
10
1 , 10
1
(C)
10
1 , 10
1
(D)
10
1 , 10 1
Q.78 The line (k + 1)2x + ky – 2k2 – 2 = 0 passes through a point regardless of the value k Which of the
following is the line with slope 2 passing through the point?
(A) y = 2x – 8 (B) y = 2x – 5 (C) y = 2x – 4 (D) y = 2x + 8
Q.79 A straight line l1 with equation x – 2y + 10 = 0 meets the circle with equation x2 + y2 = 100 at B in the
first quadrant A line through B, perpendicular to l1 cuts the y-axis at P (0, t) The value of 't' is
Q.80 Point 'P' lies on the line l { (x, y) | 3x + 5y = 15} If 'P' is also equidistant from the coordinate axes, then
P can be located in which of the four quadrants
Trang 10Q.81 If the line y = mx bisects the angle between the lines ax2 + 2h xy + by2 = 0 then m is a root of the
quadratic equation :
(A) hx2 + (a b) x h = 0 (B) x2 + h (a b) x 1 = 0
(C) (a b) x2 + hx (a b) = 0 (D) (a b) x2 hx (a b) = 0
Q.82 An equilateral triangle has each of its sides of length 6 cm If (x1, y1) ; (x2, y2) and (x3, y3) are its vertices
then the value of the determinant,
2
3 3
2 2
1 1
1 y x
1 y x
1 y x
is equal to :
Q.83 A graph is defined in polar co-ordinates as r( ) = cos +
2
1 The smallest x-coordinates of any point on the graph is
(A) –
16
1
(B) – 8
1
(C) – 4
1
(D) – 2 1
Q.84 If the vertices A and B of a triangle ABC are given by (2, 5) and (4, 11) respectively and C moves
along the line L 9x + 7y + 4 = 0, then the locus of the centroid of the triangle ABC is :
(C) a line parallel to L (D) a line perpendicular to L
Q.85 Passing through a point A(6, 8) a variable secant line L is drawn to the circle S : x2 + y2 – 6x – 8y + 5 = 0
From the point of intersection of L with S, a pair of tangent lines are drawn which intersect at P Statement-1: Locus of the point P has the equation 3x + 4y – 40 = 0
because
Statement-2: Point A lies outside the circle
(A) Statement-1 is true, statement-2 is true and statement-2 is correct explanation for statement-1 (B) Statement-1 is true, statement-2 is true and statement-2 is NOT the correct explanation for statement-1 (C) Statement-1 is true, statement-2 is false
(D) Statement-1 is false, statement-2 is true
Q.86 Consider the lines, L1: 1
4
y 3
x
; L2 = 1
3
y 4
x
; L3 : 2
4
y 3
x
and L4 : 2
3
y 4 x
Statement-1: The quadrilateral formed by these four lines is a rhombus
because
Statement-2: If diagonals of a quadrilateral formed by any four lines are unequal and intersect at right
angle then it is a rhombus
(A) Statement-1 is true, statement-2 is true and statement-2 is correct explanation for statement-1 (B) Statement-1 is true, statement-2 is true and statement-2 is NOT the correct explanation for statement-1 (C) Statement-1 is true, statement-2 is false
(D) Statement-1 is false, statement-2 is true